| Calling Sequence
| Rand(Poisson(m))
|
| Return Type
| integer |
| Synopsis
| This function returns a random Poisson-distributed
integer with average m and variance m.
The Poisson distribution is the limiting case of the binomial
distribution when n -> infinity and n*p=m remains bounded.
In mathematical terms, the probability that the outcome is i
is exp(-m) * m^i / i! (for 0 <= i).
Poisson_Rand uses Rand() which can be seeded by either the
function SetRand or SetRandSeed. |
| References
| Handbook of Mathematical functions,
Abramowitz and Stegun, 26.1.22 |
| Examples
| > Rand(Poisson(20));
20
> Rand(Poisson(1000));
1019
|
| See also
| Beta_Rand, Binomial_Rand, ChiSquare_Rand, CreateRandSeq, Cumulative, Exponential_Rand, FDist_Rand, GammaDist_Rand, Geometric_Rand, Graph_Rand, Multinomial_Rand, Normal_Rand, SetRand, SetRandSeed, Shuffle, StatTest, Std_Score, Student_Rand, Zscore |